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Finding the Fourth Proportional to 410,355.84, 566,547.20 and 314,678.40

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Solution

The fourth proportional to 410,355.84, 566,547.20 and 314,678.40 is: 434,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,355.84 : 566,547.20 = 314,678.40 : x
  2. Step 2: Convert to fraction form
    410,355.84/566,547.20 = 314,678.40/x
  3. Step 3: Cross multiply
    410,355.84x = 566,547.20 × 314,678.40
  4. Step 4: Simplify right side
    410,355.84x = 178,280,166,420.48
  5. Step 5: Solve for x
    x = 178,280,166,420.48/410,355.84
  6. Step 6: Final answer
    x = 434,452.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.